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Finding the Fourth Proportional to 292,731.84, 403,969.86 and 158,595.84

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Solution

The fourth proportional to 292,731.84, 403,969.86 and 158,595.84 is: 218,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,731.84 : 403,969.86 = 158,595.84 : x
  2. Step 2: Convert to fraction form
    292,731.84/403,969.86 = 158,595.84/x
  3. Step 3: Cross multiply
    292,731.84x = 403,969.86 × 158,595.84
  4. Step 4: Simplify right side
    292,731.84x = 64,067,939,281.38
  5. Step 5: Solve for x
    x = 64,067,939,281.38/292,731.84
  6. Step 6: Final answer
    x = 218,862.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.